Question

center of mass of the earth moon lies​

Answer 1

Answer:

Earth's radius is about 6,400 kilometers, so the center of mass for the Earth–moon system lies inside the planet, about 1,700 kilometers below the surface. Both Earth and its lunar companion orbit this subterranean point as they follow their joined path around the sun.

Answer 2

Answer:

Within the Earth

Explanation:

Let the mass of Earth and Moon be $M_e$ and $M_m$ respectively.

Centre of mass = $\frac{m_1x_1 + m_2x_2}{m_1+m_2}$

                          = $\frac{M_e(0)+M_m(d)}{M_e+M_m}$

                          =  $\frac{M_m(d)}{M_e+M_m}$

We know that:

        $M_e$ >> $M_m$ ( '>>' this means much much greater)

This means that $\frac{M_m(d)}{M_e+M_m}$  in our equation we can neglect Mass of moon:

                This means that: $\frac{M_m}{M_e}d$

Now that Mass of moon is divided by Mass of Earth, the answer is negligibly  small.

= $0(d)$

Therefore the center of mass of the earth moon lies​ within the Earth.